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Constructing \(D\)-optimal symmetric stated preference discrete choice experiments. (English) Zbl 1278.62115

Summary: We give new constructions for DCEs in which all attributes have the same number of levels. These constructions use several combinatorial structures, such as orthogonal arrays, balanced incomplete block designs and Hadamard matrices. If we assume that only the main effects of the attributes are to be used to explain the results and that all attribute level combinations are equally attractive, we show that the constructed DCEs are \(D\)-optimal.

MSC:

62K05 Optimal statistical designs
05B20 Combinatorial aspects of matrices (incidence, Hadamard, etc.)
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